By Dick Bedeaux

Bedeaux (chemistry, Norwegian U. of technology and know-how) and Vlieger, retired from a Dutch corporation, current the implications they've got acquired through the years at the optical houses of skinny motion pictures and tough surfaces. To the 2002 variation, they upload the following a chapters at the mirrored image of sunshine by means of a gyrotropic medium, and a bit on self-affine surfaces within the bankruptcy on tough surfaces. different themes contain Maxwell's equations with singular fields, mirrored image and transmission, spheroidal island movies within the low assurance restrict, stratified layers, and normal linear reaction idea for surfaces. allotted within the US by means of international medical.

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26) It should be stressed again that, if one uses the generalized electric displacement field, it is sufficient to take the normal component 02 of its excess equal to zero. It is no longer necessary to take both D: and 1; separately equal to zero! 28). See the last section of the previous chapter for a more extended discussion of this point. 24). 3 by replacing D by D', P" by P" and setting p and I equal to zero. From this point on the description will always be in terms of the generalized electric displacement field.

They remain unchanged, if one interchanges the electric with the magnetic field and the electric displacement field with minus the magnetic induction. 45), at the interface this interchange is equivalent with simultaneously in, and replacing r by terchanging E* with -p*, ye with -ym, p, with -pm, 6,with 6 -r. 51), yields the same set of formulae. In the applications it is sometimes convenient to shift the location of the dividing surface over a distance d , where d may again be positive or negative, through a homogeneous medium.

8 the dependence of the constitutive coefficients on the choice of the dividing surface is discussed. 9. The last two sections discuss how the constitutive coefficients change if the dividing surface is shifted through a homogeneous background and how to add two adjacent but distinct films to one single film. The formulae describing such a shift and the addition of adjacent films will turn out to be extremely useful in subsequent applications. 2 Singularities in the fields, currents and charge densities Consider again a system, consisting of two different homogeneous media separated by a thin boundary layer.

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